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Finding the Fourth Proportional to 282,813.38, 390,408.27 and 168,129.15

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Solution

The fourth proportional to 282,813.38, 390,408.27 and 168,129.15 is: 232,093.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,813.38 : 390,408.27 = 168,129.15 : x
  2. Step 2: Convert to fraction form
    282,813.38/390,408.27 = 168,129.15/x
  3. Step 3: Cross multiply
    282,813.38x = 390,408.27 × 168,129.15
  4. Step 4: Simplify right side
    282,813.38x = 65,639,010,588.07
  5. Step 5: Solve for x
    x = 65,639,010,588.07/282,813.38
  6. Step 6: Final answer
    x = 232,093.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.